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22 August 2020 Quantum amplitude estimation algorithms on IBM quantum devices
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Abstract
Since the publication of the Quantum Amplitude Estimation (QAE) algorithm by Brassard et al., 2002, several variations have been proposed, such as Aaronson et al., 2019, Grinko et al., 2019, and Suzuki et al., 2020. The main difference between the original and the variants is the exclusion of Quantum Phase Estimation (QPE) by the latter. This difference is notable given that QPE is the key component of original QAE, but is composed of many operations considered expensive for the current NISQ era devices. We compare two recently proposed variants (Grinko et al., 2019 and Suzuki et al., 2020) by implementing them on the IBM Quantum device using Qiskit, an open source framework for quantum computing. We analyze and discuss advantages of each algorithm from the point of view of their implementation and performance on a quantum computer.
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Pooja Rao, Kwangmin Yu, Hyunkyung Lim, Dasol Jin, and Deokkyu Choi "Quantum amplitude estimation algorithms on IBM quantum devices", Proc. SPIE 11507, Quantum Communications and Quantum Imaging XVIII, 115070O (22 August 2020); https://doi.org/10.1117/12.2568748
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